What is 1.39 percent of 464.09 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 464.09 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 464.09 is 100%, so we can write it down as 464.09=100%.
4. We know, that x is 1.39% of the output value, so we can write it down as x=1.39%.
5. Now we have two simple equations:
1) 464.09=100%
2) x=1.39%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
464.09/x=100%/1.39%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 1.39% of 464.09

464.09/x=100/1.39
(464.09/x)*x=(100/1.39)*x       - we multiply both sides of the equation by x
464.09=71.942446043165*x       - we divide both sides of the equation by (71.942446043165) to get x
464.09/71.942446043165=x
6.450851=x
x=6.450851

now we have:
1.39% of 464.09=6.450851